Susan and Tom want to know the combined amount of money they earned last week. They both earned $9 per hour, but Susan also earn
ed a $45 bonus. Susan added her earnings to Tom's earnings to write the expression (9S + 45) + 9T, where S is the number of hours she worked, and Tis the number of hours Tom worked. Tom added their combined hourly wages to Susan's bonus to write the expression 9(S + T) + 45. Which of the following statements is true?
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The fill up for the 3rd step is y - 250 = 340x.
- The fill up of the 5th step is
- The fill up of the 6th step is
- The justification for the 2nd step is subtraction PE.
- The justification for the 4th step is division PE.
Note that:
y-250 = 250 + 340 x - 250
y = 250 + 340x.
Make x the subject of the formula:
y - 250 = 340x.
then y-250/340 = x
Then
The justification for the second step is subtraction property of equality because it undergoes subtraction and the collection of like terms and then subtracting them from one another as shown below:
y-250 = 250 + 340 x - 250
y= 250 + 340x - 250 + 250
Note that (-250 + 250) = 0
y = 250 + 340x.
Lastly, The fill up of the 6th step is substitution of the amount of money saved and then simplifying it.
Learn more about simplification from
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Consider, 
. Let's say 
then the problem reduces to 
. (Do you understand this step?)
So then replacing a again with our definition we get,
.
So then replacing a again with our definition we get,